Question

Which one best fits the answer ?

Answer 1

@Vocaloid

Answer 2

statement 1: AB congruent to BD
statement 2 BD congruent to CE

using the transitive property we have the general rule

A = B
B = C
therefore
A = C

try to apply this logic to statements 1 and 2 to get the next blank

Answer 3

CE AC

Answer 4

"AB is congruent to BD" that's like saying "A = B"
"BD is congruent to CE" that's like saying "B = C"

so the conclusion "A = C" must therefore be "AB is congruent to CE"

Answer 5

statement 4 says "given" so we go back to the original statements to see what was originally given

CE is congruent to AC is the only thing that works for blank 4

Answer 6

statement 5:

we use the original statements

AB congruent to BD
BD congruent to CE
CE congruent to AC

therefore AB congruent to AC

do you remember which property this is?

Answer 7

transitive

Answer 8

good

so the remaining blank 6 must be isosceles

so to recap:

AB is congruent to CE
CE is congruent to AC
transitive
isosceles definition

Answer 9

statement 1 " <1 and <2 are supplementary

therefore their angles must add up to 180

so which statement best reflects this idea?

Answer 10

m<1 + m<3 = 180

Answer 11

awesome

statement 4 states that the bisector from step 3 creates two equal angles so which statement would this be?

Answer 12

substitution property

Answer 13

keyword: bisector

Answer 14

bisector i thought at first

Answer 15

alright, so the bisector gives us two equal angles <2 and <3

therefore we can ~substitute~ m<3 into m<2 to get

m<1 + m<3 = 180 as the statement
and
"substitution property" as the reason

Answer 16

so to recap:
m<1 + m<2 = 180
bisector def.
m<1 + m<3 = 180
substitution property

Answer 17

i thought the 3rd was the first wasn't it ?

Answer 18

remember, the first sentence says that <1 and <2 are supplementary

therefore the first statement must be m<1 and m<2 add up to 180.

Answer 19

oh ok i see

Answer 20

this is from the unit test. I recognize the question + purple border; :/

Answer 21

this is a different question

Answer 22

it doesn't have the unit test on top

Answer 23

oh i see they might've put this question in this one

Answer 24

that test is over and done with, this is a new one

Answer 25

I don't feel comfortable answering this

Answer 26

i can prove it

Answer 27

https://assets.questioncove.com/attachments/1536119925-5b8f4b86221c37120cddbe00-UTquestion.JPG

Answer 28

well if you've already taken the test you should be able to re-use your solution then

Answer 29

this one has the unit test on top of it

Answer 30

and this one doesn't

Answer 31

it's not showing up for me

Answer 32

there it doesn't have the unit test on top of it

Answer 33

but the other test was wrong

Answer 34

can you please show me the entire screen?

Answer 35

ok

Answer 36

i hope this is clear for you

Answer 37

alright :/

for AD being parallel to BC this is because they are opposite sides on a parallelogram

therefore what choice would fit best?

Answer 38

definition of parallelogram

Answer 39

awesome

then going from <1 to <2 to m<1 = m<2 this is the angle congruence (if angles are equal their measurements are as well)

now let's move to the right column,

if <2 and <3 are supplementary they add up to 180, right? so which statement best reflects this idea?

Answer 40

definition of supplementary

Answer 41

hm not quite
notice how the box already has "definition of supplementary" on it

we want the statement that says "angle 2 and 3 add up to 180" which one is closest to this idea?

Answer 42

m<2 + m<3 = 180

Answer 43

good

then for the box that says "substitution property"

we take the expression m<2 + m<3 = 180

and substitute m<1 instead of m<2, what would be the result of that?

Answer 44

angle congruence

Answer 45

we already used angle congruence

remember, when you ~substitute~ something in for another thing, you replace it

so if we "substitute" m<1 for m<2, we replace "m<2" with "m<1" giving us

m<1 + m<3 = 180 as the statement

Answer 46

for the last blank we just use the one that's left, definition of supplementary

Answer 47

so to recap:

1. AD parallel to BC --> definition of parallelogram
2. definition of supplementary --> m<2 + m<3 = 180
3. m<1 + m<2 ---> angle congruence
4. substitution property --> m<1 + m<3 = 180
5. last blank --> definition of supplementary

Answer 48

well one was wrong but is 92 good for a score ?

Answer 49

that's a B

Answer 50

hm :S

Answer 51

a little lower than I was expecting but not the end of the world

Answer 52

well it ain't bad but it's not the best

Answer 53

Thank You Vocaloid for all your help once again